Remarks on unit indices of imaginary abelian number fields |
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| Authors: | Mikihito Hirabayashi Ken-ichi Yoshino |
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| Institution: | (1) Kanazawa Institute of Technology, 7-1, Ogigaoka, Nonoichi-machi, 921 Ishikawa, Japan;(2) Kanazawa Medical University, Uchinada-machi, Kahoku-gun, 920-02 Ishikawa, Japan |
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| Abstract: | Let K be an imaginary abelian number field. We determine the unit index of K of certain type whose conductor is a product of two or three prime powers. As a consequence we construct some counterexamples to Satz 29 in Hasse's monograph 2]. |
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